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sergeinik [125]
3 years ago
8

Janine inflated a ball to a radius of 18 cm and another ball to a radius of 12 cm.

Mathematics
2 answers:
nekit [7.7K]3 years ago
6 0

Answer:since your are looking for the volume of the ball, the answer would be 17182.08

Step-by-step explanation:

Sladkaya [172]3 years ago
3 0
Volume of a ball = (4/3)πr³

When r = 18cm, V = (4/3)×3.14×18³ =24416.64 cm³
When r = 12cm, V = (4/3)×3.14×12³ =7234.56 cm³
 Difference = 24416.64 - 7234.56 = 17182.08 cm³

the volume of air in the larger ball is <span>17182.08 cm³ greater than smaller ball </span>


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Derik earns $10.00 per hour. He works 35 hours per week. How much will he earn in two weeks? If he spends $50, how much will Der
Ksenya-84 [330]

Answer:

650

Step-by-step explanation:

so the way I did this was by adding how much he works per week which is 35 per week. so he works 70 hours in 2 weeks. he earns 10 dollars per hour. so 10 times 70 you get 700 but he spends 50. so 700 minus 50. you get 650. he has 650 dollars left.

5 0
3 years ago
A student is given that point P(a, b) lies on the terminal ray of angle Theta, which is between StartFraction 3 pi Over 2 EndFra
Harman [31]

Answer:

<em>A.</em>

<em>The student made an error in step 3 because a is positive in Quadrant IV; therefore, </em>

<em />cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}

Step-by-step explanation:

Given

P\ (a,b)

r = \± \sqrt{(a)^2 + (b)^2}

cos\theta = \frac{-a}{\sqrt{a^2 + b^2}} = -\frac{\sqrt{a^2 + b^2}}{a^2 + b^2}

Required

Where and which error did the student make

Given that the angle is in the 4th quadrant;

The value of r is positive, a is positive but b is negative;

Hence;

r = \sqrt{(a)^2 + (b)^2}

Since a belongs to the x axis and b belongs to the y axis;

cos\theta is calculated as thus

cos\theta = \frac{a}{r}

Substitute r = \sqrt{(a)^2 + (b)^2}

cos\theta = \frac{a}{\sqrt{(a)^2 + (b)^2}}

cos\theta = \frac{a}{\sqrt{a^2 + b^2}}

Rationalize the denominator

cos\theta = \frac{a}{\sqrt{a^2 + b^2}} * \frac{\sqrt{a^2 + b^2}}{\sqrt{a^2 + b^2}}

cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}

So, from the list of given options;

<em>The student's mistake is that a is positive in quadrant iv and his error is in step 3</em>

3 0
3 years ago
If a card is picked at random from a standard 52-card deck, what is the probability of getting a spade or a 8
g100num [7]

Answer:

1/4, 25%, or 0.25

Step-by-step explanation:

Therefore, as each suit contains 13 cards, and the deck is split up into 4 suits, that leaves us with a 13/52 chance to pick a spade.

That fraction is equivalent to 1/4, so that leaves us with a probability of picking a spade at:

1/4, 25%, or 0.25

8 0
3 years ago
A bag of lollipops contains red lollipops and purple lollipops. 80% of the lollipops in the bag are red. A number generator simu
nata0808 [166]

Answer:

  The number generator is fair. It picked the approximate percentage of red lollipops most of the time.

Step-by-step explanation:

The other answer choices represent various misinterpretations of the nature of the experiment or the meaning of the numbers generated.

___

A number generator can be quite fair, but give wildly varying percentages of red lollipops. Attached are the results of a series of nine (9) simulations of the type described in the problem statement. You can see that the symmetrical result shown in the problem statement is quite unusual. A number generator that gives results that are too ideal may not be sufficiently random.

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3 years ago
Find the surface area of the regular hexagonal prism.
stiv31 [10]
Do u have the surface area formula
8 0
3 years ago
Read 2 more answers
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